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Which of these properties is enough to prove that a given parallelogram is also a Rectangle?

A.The diagonals bisect each other.

B. The opposite angles are equal.

C.The opposite sides are equal.

D. The diagonals are congruent.

2 Answers

0 votes
I believe it’s a I’m not sure tho
User Jonas Fagundes
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8.0k points
2 votes

we are supposed to find

Which of these properties is enough to prove that a given parallelogram is also a Rectangle?

As we know from the theorem, if the diagonals of a parallelogram are congruent then the parallelogram is a rectangle.

The other options The diagonals bisect each other is not sufficient because in parallelogram diagonals always gets bisected , parallelogram becomes rectangles only if both the diagonals are of same length.

In a parallelogram The opposite angles and opposite sides are always equal.

Hence the correct option is

The diagonals are congruent.

User Siddharth Kumar
by
8.9k points
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